The arena was the first major project of German architect Helmut Jahn who was to go on to become an important architect of his era.

The building was revolutionary in its simplicity and the fact it did not have interior columns obstructing views. Its roof is suspended by exterior steel trusses. The nearly windowless structure contrasts to Jahn's later signature style of providing wide open glass enclosed spaces. Kemper's exterior skeleton style was to be used extensively throughout Jahn's other projects.

The building cost $22 million and is owned by the city of Kansas City, Missouri. Financing came from seven sources:

On June 4, 1979 at 6:45 p.m., a major storm with 70 mph (110 km/h) winds and heavy rains caused a portion of Kemper Arena's roof to collapse. Since the Arena was not in use at the time, no one was injured.

The American Institute of Architects had given the building an "Honor" award in 1976[1] and thousands of its members were at its annual national conference there less than 24 hours before the 1979 collapse. Further, the collapse coupled with the January 18, 1978, collapse of the Hartford Civic Center from heavy snow in the early morning hours just after a University of Connecticut basketball game prompted architects to seriously reconsider computer models used to determine the safety of arenas.

The arena was one of the first major projects by influential architect Helmut Jahn who was to take over the Murphy/Jahn firm founded by Charles Murphy. Steel trusses that hung from three huge portals supported the reinforced concrete roof. Design elements had called for compensating for winds that caused the roof to swing like a pendulum. The exterior skeleton design had been considered revolutionary in its simplicity (it was built in 18 months).

Two major factors came together on June 4, to cause the collapse.

First, the roof had been designed to gradually release rainwater as the sewers in the West Bottoms could not adequately handle the rapid runoff because of the nearby confluence of the Missouri River and Kansas River. This caused the downpour to "pond" (where water fills in as the roof sagged) adding to the weight.

Second, there had been a miscalculation on the strength of the bolts on the hangers when subjected to the 70 mph (110 km/h) winds while supporting the additional rainwater weight as the roof swung back and forth. Once one of the bolts gave way there was a cascading failure on the south side of the roof. Although the bolts were enormous, the media was to make much of the fact that "one broken bolt caused the collapse."

Approximately one acre, or 200 ft (61 m) × 215 ft (66 m) of roof collapsed. The air pressure, increased by the rapidly falling roof caused some of the walls to blow out. However, the portals remained undamaged..."

An investigation was conducted, and the issues were addressed and the arena reopened within a year.

On May 23, 1999, Kemper Arena hosted the WWF (now WWE) pay-per-view Over the Edge, where WWF superstar Owen Hart fell to his death from the rafters after attempting to descend while in his super hero gimmick of The Blue Blazer. A few months later, Owen's brother, Bret Hart and longtime friend Chris Benoit had a tribute match in honor of Owen at Kemper Arena on WCW Monday Nitro. In this very arena on August 26, 1999, WWE debuted their new show called SmackDown! on UPN.

Additional American Royal livestock buildings were built adjoining Kemper in 1991–92 at a cost of $33.4 million (the City of Kansas City built the original American Royal Arena in 1922 nearby for about $650,000)

In 1997, a $23 million expansion made significant changes to the original Jahn design—most notably a glass enclosed east lobby. Other changes include: 2,000 more seats, upgraded lower-level seating, four restrooms, and a handicapped entrance to the arena.

The American Royal Association has hosted livestock events at Kemper since it was first constructed. The Royal also helped pay for the original building. Its office is located in the building along with the American Royal Museum. The American Royal Association is home to the American Royal Horse Show, Livestock Show, and Rodeo and which hosts a six-week festival each October to November.

Rush – February 27, 1980, with Roadmaster, April 23–24, 1981, October 15–16, 1982, with Rory Gallagher, June 16, 1984, with Gary Moore, April 29, 1986, with Blue Öyster Cult, April 7, 1988, with The Rainmakers, March 3, 1990, with Mr. Big, May 23, 1992, with Mr. Big and April 5, 1994, with Primus

Van Halen – August 22, 1980, with The Katz, October 17, 1981, with G–Force, August 7, 1982, with After the Fire, June 20–21, 1984, with The Velcros, May 30–31, 1986, with Bachman–Turner Overdrive and July 26, 2004, with Shinedown

Bob Seger & The Silver Bullet Band – October 22–23, 1980, May 19, 1983, March 21, 1996 and December 2, 2006, with Eric Church